For the following scores,
Participant |
X |
Y |
A |
1 |
3 |
B |
3 |
5 |
C |
2 |
1 |
D |
2 |
3 |
A) Draw a scatterplot by hand. Upload a scanned copy or picture of the scatterplot.
B)Based on the scatterplot:
The correlation between X and Y is zero
The correlation between X and Y is 1
The correlation between X and Y is positive
The correlation between X and Y is negative
C)Compute the Pearson Correlation Coefficient
r =
Note: If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point and do not round.
If it is a negative correlation, please do not forget to include the negative sign.
D)The correlation between X and Y is
large and positive. As X increases, Y increases
large and positive. As X increases, Y decreases
medium and positive. As X increases, Y increases
medium and positive. As X increases, Y decreases
large and negative. As X increases, Y increases
large and negative. As X increases, Y decreases
A). the scatterplot be:-
B). Based on the scatterplot:-
The correlation between X and Y is zero
C). necessary calculation table:-
x | y | xy | ||
1 | 3 | 1 | 9 | 3 |
3 | 5 | 9 | 25 | 15 |
2 | 1 | 4 | 1 | 2 |
2 | 3 | 4 | 9 | 6 |
sum=8 | sum=12 | sum=18 | sum=44 | sum=26 |
correlation coefficient be:-
= 0.5
D)The correlation between X and Y is:-
medium and positive. As X increases, Y increases
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